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Finding the Third Proportional to 3,780.84 and 5,310.56

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Solution

The third proportional to 3,780.84 and 5,310.56 is: 7,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.84 : 5,310.56 = 5,310.56 : x
  2. Step 2: Convert to fraction form
    3,780.84/5,310.56 = 5,310.56/x
  3. Step 3: Cross multiply
    3,780.84x = 5,310.56 × 5,310.56
  4. Step 4: Simplify right side
    3,780.84x = 28,202,074.07
  5. Step 5: Solve for x
    x = 28,202,074.07/3,780.84
  6. Step 6: Final answer
    x = 7,459.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.